Grand Unified Theory (syntax)

Grand Unified Theory (GUT) is successful in describing the four forces as distinct under normal circumstances, but connected in fundamental ways.

Tip

This section is referring to wiki page-26 of main section-4 that is from the spin section-139 by prime spin-35 and span- with the partitions as below.

/syntax

  1. Addition Zones (0-18)
    1. True Prime Pairs
    2. Primes Platform
    3. Pairwise Scenario
    4. Power of Magnitude
    5. The Pairwise Disjoint
    6. The Prime Recycling ζ(s)
    7. Implementation in Physics
  2. Multiplication Zones (18-30)
    1. Symmetrical Breaking (spin 8)
    2. The Angular Momentum (spin 9)
    3. Entrypoint of Momentum (spin 10)
    4. The Mapping of Spacetime (spin 11)
    5. Similar Order of Magnitude (spin 12)
    6. Searching for The Graviton (spin 13)
    7. Elementary Retracements (spin 14)
    8. Recycling of Momentum (spin 15)
    9. Exchange Entrypoint (spin 16)
    10. The Mapping Order (spin 17)
    11. Magnitude Order (spin 18)
  3. Exponentiation Zones (30-36)
    1. Electrodynamics (maps)
    2. Quantum Gravity (feed)
    3. Chromodynamics (lexer)
    4. Electroweak Theory (parser)
    5. Grand Unified Theory (syntax)
  4. Identition Zones (36-102)
    1. Theory of Everything (span 12)
    2. Everything is Connected (span 11)
    3. Truncated Perturbation (span 10)
    4. Quadratic Polynomials (span 9)
    5. Fundamental Forces (span 8)
    6. Elementary Particles (span 7)
    7. Basic Transformation (span 6)
    8. Hidden Dimensions (span 5)
    9. Parallel Universes (span 4)
    10. Vibrating Strings (span 3)
    11. Series Expansion (span 2)
    12. Wormhole Theory (span 1)

GUT is also successful in describing a system of carrier particles for all four forces, but there is much to be done, particularly in the realm of gravity.

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image

image

Unification

$True Prime Pairs:
(5,7$True Prime Pairs:
(5,7), (11,13), (17,19)

     |    168    |    618    |
-----+-----+-----+-----+-----+                                             ---
 19¨ |  3¨ |  4¨ |  6¨ |  6¨ | 4¤  ----->  assigned to "id:30"             19¨
-----+-----+-----+-----+-----+                                             ---
 17¨ | {5¨}| {3¨}|  2¨ |  7¨ | 4¤  ----->  assigned to "id:31"              |
     +-----+-----+-----+-----+                                              |
{12¨}|  6¨ |  6¨ |  2¤ (M & F)     ----->  assigned to "id:32"              |
     +-----+-----+-----+                                                    |
 11¨ |  3¨ | {3¨}| {5¨}| 3¤  --->  Np(33)  assigned to "id:33"  ----->  👉 77¨
-----+-----+-----+----+-----+                                              |
 19¨ |  4¨ |  4¨ |  5¨ |  6¨ | 4¤  ----->  assigned to "id:34"              |
     +-----+-----+-----+-----+                                              |
{18¨}|  ❓ |  ❓ |  ❓ | 3¤ ✔️     ----->  assigned to "id:35"              |
     +-----+-----+-----+-----+-----+-----+-----+-----+-----+               ---
 43¨ |  .. |  .. |  .. |  .. |  .. |  .. |  .. |  .. |  .. | 9¤ (C1 & C2)  43¨
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+               ---
139¨ |  1     2     3  |  4     5     6  |  7     8     9  |
                    Δ                 Δ                 Δ       

GUTs - The Unification of Forces.pdf

$True Prime Pairs:
(5,7$True Prime Pairs:
(5,7), (11,13), (17,19)

     |    168    |    618    |
-----+-----+-----+-----+-----+                                             ---
 19¨ |  3¨ |  4¨ |  6¨ |  6¨ | 4¤  ----->  assigned to "id:30"             19¨
-----+-----+-----+-----+-----+                                             ---
 17¨ | {5¨}| {3¨}|  2¨ |  7¨ | 4¤  ----->  assigned to "id:31"              |
     +-----+-----+-----+-----+                                              |
{12¨}|  6¨ |  6¨ |  2¤ (M & F)     ----->  assigned to "id:32"              |
     +-👇--+-👇--+-----+                                                    |
 11¨ |  3¨ | {3¨}| {5¨}| 3¤  --->  Np(33)  assigned to "id:33"  ----->  👉 77¨
-----+-👇--+-👇--+----+-----+                                              |
 19¨ |  4¨ |  4¨ |  5¨ |  6¨ | 4¤  ----->  assigned to "id:34"              |
     +-----+-----+-----+-----+                                              |
{18¨}|  ❓ |  ❓ |  .. | 3¤ ✔️     ----->  assigned to "id:35"              |
     +-----+-----+-----+-----+-----+-----+-----+-----+-----+               ---
 43¨ |  .. |  .. |  .. |  .. |  .. |  .. |  .. |  .. |  .. | 9¤ (C1 & C2)  43¨
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+               ---
139¨ |  1     2     3  |  4     5     6  |  7     8     9  |
                    Δ                 Δ                 Δ       

Figure_34_06_03

$True Prime Pairs:
(5,7$True Prime Pairs:
(5,7), (11,13), (17,19)

     |    168    |    618    |
-----+-----+-----+-----+-----+                                             ---
 19¨ |  3¨ |  4¨ |  6¨ |  6¨ | 4¤  ----->  assigned to "id:30"             19¨
-----+-----+-----+-----+-----+                                             ---
 17¨ | {5¨}| {3¨}|  2¨ |  7¨ | 4¤  ----->  assigned to "id:31"              |
     +-----+-----+-----+-----+                                              |
{12¨}|  6¨ |  6¨ |  2¤ (M & F)     ----->  assigned to "id:32"              |
     +-👇--+-👇--+-👇--+                                                    |
 11¨ |  3¨ | {3¨}| {5¨}| 3¤  --->  Np(33)  assigned to "id:33"  ----->  👉 77¨
-----+-👇--+-👇--+-👇--+-----+                                              |
 19¨ |  4¨ |  4¨ |  5¨ |  6¨ | 4¤  ----->  assigned to "id:34"              |
     +-----+-----+-----+-----+                                              |
{18¨}|  ❓ |  ❓ |  .. | 3¤ ✔️     ----->  assigned to "id:35"              |
     +-----+-----+-----+-----+-----+-----+-----+-----+-----+               ---
 43¨ |  .. |  .. |  .. |  .. |  .. |  .. |  .. |  .. |  .. | 9¤ (C1 & C2)  43¨
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+               ---
139¨ |  1     2     3  |  4     5     6  |  7     8     9  |
                    Δ                 Δ                 Δ       

The-strong-force-is-complicated-since-observable-particles-that-feel-the-strong-force

$True Prime Pairs:
(5,7$True Prime Pairs:
(5,7), (11,13), (17,19)

     |    168    |    618    |
-----+-----+-----+-----+-----+                                             ---
 19¨ |  3¨ |  4¨ |  6¨ |  6¨ | 4¤  ----->  assigned to "id:30"             19¨
-----+-----+-----+-----+-----+                                             ---
 17¨ | {5¨}| {3¨}|  2¨ |  7¨ | 4¤  ----->  assigned to "id:31"              |
     +-----+-----+-----+-----+                                              |
{12¨}|  6¨ |  6¨ |  2¤ (M & F)     ----->  assigned to "id:32"              |
     +-----+-----+-👇--+                                                    |
 11¨ |  3¨ | {3¨}| {5¨}| 3¤  --->  Np(33)  assigned to "id:33"  ----->  👉 77¨
-----+-----+-----+-👇--+-----+                                              |
 19¨ |  4¨ |  4¨ |  5¨ |  6¨ | 4¤  ----->  assigned to "id:34"              |
     +-👇--+-👇--+-----+-----+                                              |
{18¨}|  5¨ |  5¨ |  .. | 3¤ ✔️     ----->  assigned to "id:35"              |
     +-----+-----+-----+-----+-----+-----+-----+-----+-----+               ---
 43¨ |  .. |  .. |  .. |  .. |  .. |  .. |  .. |  .. |  .. | 9¤ (C1 & C2)  43¨
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+               ---
139¨ |  1     2     3  |  4     5     6  |  7     8     9  |
                    Δ                 Δ                 Δ       

CCJanFeb23_EFT_fermi-635x206

$True Prime Pairs:
(5,7$True Prime Pairs:
(5,7), (11,13), (17,19)

     |    168    |    618    |
-----+-----+-----+-----+-----+                                             ---
 19¨ |  3¨ |  4¨ |  6¨ |  6¨ | 4¤  ----->  assigned to "id:30"             19¨
-----+-----+-----+-----+-----+                                             ---
 17¨ | {5¨}| {3¨}|  2¨ |  7¨ | 4¤  ----->  assigned to "id:31"              |
     +-----+-----+-----+-----+                                              |
{12¨}|  6¨ |  6¨ |  2¤ (M & F)     ----->  assigned to "id:32"              |
     +-----+-----+-----+                                                    |
 11¨ |  3¨ | {3¨}| {5¨}| 3¤  --->  Np(33)  assigned to "id:33"  ----->  👉 77¨
-----+-----+-----+-----+-----+                                              |
 19¨ |  4¨ |  4¨ |  5¨ |  6¨ | 4¤  ----->  assigned to "id:34"              |
     +-----+-----+-----+-----+                                              |
{18¨}|  5¨ |  5¨ |  8¨ | 3¤ ✔️     ----->  assigned to "id:35"              |
     +-----+-----+-----+-----+-----+-----+-----+-----+-----+               ---
 43¨ |  .. |  .. |  .. |  .. |  .. |  .. |  .. |  .. |  .. | 9¤ (C1 & C2)  43¨
-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+               ---
139¨ |  1     2     3  |  4     5     6  |  7     8     9  |
                    Δ                 Δ                 Δ       

Black Hole

main-qimg-6874830a97ce37b0b02cc3ae3d2268f1

1591890434759

I4dae

E = mc²
m = E = mc²
m = E/c²

c = 1 light-second
  = 1000 years x L / t
  = 12,000 months x 2152612.336257 km / 86164.0906 sec
  = 299,792.4998 km / sec

Note:
1 year = 12 months
1000 years = 12,000 months
Te = earth revolution = 365,25636 days
R = radius of moon rotation to earth = 384,264 km
V = moon rotation speed = 2πR/Tm = 3682,07 km/hours
Ve = excact speed = V cos (360° x Tm/Te) = V cos 26,92848°
Tm = moon revolution (sidereal) = 27,321661 days = 655,719816 hours
t = earth rotation (sinodik) = 24 hours = 24 x 3600 sec = 86164.0906 sec
L = Ve x Tm = 3682,07 km/hours x cos 26,92848° x 655,71986 = 2152612.336257 km

Conclusion:
π(π(π(π(π(32(109²-89²)))))) Universe vs Parallel vs Multiverse (via blackhole)
   👇
π(π(π(π(32(109²-89²))))) Galaxies vs Universe vs Parallel (gap in 2nd-level)
   👇
π(π(π(32(109²-89²)))) Sun vs Galaxies vs Universe (2nd gap in 1st-level)
   👇
π(π(32(109²-89²))) Moon vs Sun vs Galaxies (1st-gap via dark matter)
   👇
|--👇---------------------------- 2x96 ---------------------|
|--👇----------- 7¤ ---------------|---------- 5¤ ----------|
|- π(32(109²-89²))=109² -|-- {36} -|-------- {103} ---------|
+----+----+----+----+----+----+----+----+----+----+----+----+
|  5 |  7 | 11 |{13}| 17 | 19 | 17 |{12}| 11 | 19 | 18 |{43}|
+----+----+----+----+----+----+----+----+----+----+----+----+ 
|--------- {53} ---------|---- {48} ----|---- {48} ----|109²-89² 👉 Unknown
|---------- 5¤ ----------|------------ {96} -----------|-1¤-|
|-------- Bosons --------|---------- Fermions ---------|-- Graviton
|-- Sun Orbit (7 days) --|--- Moon Orbit (12 months) --| (11 Galaxies)
|------------ Part of 1 Galaxy (Milky Way) ------------| Non Milky Way 👉 Σ=12

main-qimg-2d9e529abca58e22d8abc805a24b27bd

How water is formed

Note

Finally, there exist scenarios in which there could actually be more than 4D of spacetime. String theories require extra dimensions of spacetime for their mathematical consistency. In string theory, spacetime is 26-dimensional, while in superstring theory it is 10-dimensional, and in M-theory it is 11-dimensional.String theory

These are situations where theories in two or three spacetime dimensions are no more useful. This classification theorem identifies several infinite families of groups as well as 26 additional groups which do not fit into any family. (Wikipedia)

[(6 + 6) x 6] + [6 + (6 x 6)] = 72 + 42 = 71 + 42 + 1 = 114 objects

The Prime Recycling ζ(s):
(2,3), (29,89), (36,68), (72,42), (100,50), (2,3), (29,89), ...**infinity**
----------------------+-----+-----+-----+                                    ---
     7 --------- 1,2:1|   1 |  30 |  40 | 71 (2,3) ‹-------------@----        |
     |                +-----+-----+-----+-----+                        |      |
     |  8 ‹------  3:2|   1 |  30 |  40 |  90 | 161 (7) ‹---           |      5¨  encapsulation
     |  |             +-----+-----+-----+-----+             |          |      |
     |  |  6 ‹-- 4,6:3|   1 |  30 | 200 | 231 (10,11,12) ‹--|---       |      |
     |  |  |          +-----+-----+-----+-----+             |   |      |     ---
      --|--|-----» 7:4|   1 |  30 |  40 | 200 | 271 (13) --›    | {5®} |      |
        |  |          +-----+-----+-----+-----+                 |      |      |
         --|---› 8,9:5|   1 |  30 | 200 | 231 (14,15) ---------›       |      7¨  abstraction
289        |          +-----+-----+-----+-----+-----+                  |      |
 |          ----› 10:6|  20 |   5 |  10 |  70 |  90 | 195 (19) --› Φ   | {6®} |
  --------------------+-----+-----+-----+-----+-----+                  |     ---
     67 --------› 11:7|   5 |   9 |  14 (20) --------› ¤               |      |
     |                +-----+-----+-----+                              |      |
     |  78 ‹----- 12:8|   9 |  60 |  40 | 109 (26) «------------  ✔️   |     11¨  polymorphism
     |  |             +-----+-----+-----+                       |      |      |
     |  |  86‹--- 13:9|   9 |  60 |  69 (27) «-- Δ19 (Rep Fork) | {2®} |      |
     |  |  |          +-----+-----+-----+                       |      |     ---
     |  |   ---› 14:10|   9 |  60 |  40 | 109 (28) -------------       |      |
     |  |             +-----+-----+-----+                              |      |
     |   ---› 15,18:11|   1 |  30 |  40 | 71 (29,30,31,32) ----------        13¨  inheritance
329  |                +-----+-----+-----+                                     |
  |   ‹--------- 19:12|  10 |  60 | {70} (36) ‹--------------------- Φ        |
   -------------------+-----+-----+                                          ---
    786 ‹------- 20:13|  90 |  90 (38) ‹-------------- ¤                      |
     |                +-----+-----+                                           |
     | 618 ‹- 21,22:14|   8 |  40 |  48 (40,41) ‹----------------------      17¨  class
     |  |             +-----+-----+-----+-----+-----+                  |      |
     |  | 594 ‹- 23:15|   8 |  40 |  70 |  60 | 100 | 278 (42) «--     |{6'®} |
     |  |  |          +-----+-----+-----+-----+-----+             |    |     ---
      --|--|-»24,27:16|   8 |  40 |  48 (43,44,45,46) ------------|----       |
        |  |          +-----+-----+                               |           |
         --|---› 28:17| 100 | {100} (50) ------------------------»           19¨  object
168        |          +-----+                                                 |
|         102 -› 29:18| 50  | 50(68) ---------> Δ18                           |
----------------------+-----+                                                ---

The only different is, instead of an instance, it will behave as an inside container, just like how spider built a home web as strong as steel but useless to cover them against a rainy day nor even a small breeze.

default

This would even close to the similar ability of human brain without undertanding of GAP functionality between left and right of the human brain.

Final Theory

l9mo0z1dltu61

EU4RYL7UcAAzZN2

final-theory

HEXAHEDRONTORUS1

The Prime Recycling ζ(s)

Tip

The structure is arranged based on 11 dimensions of space and time which is composed of 12 loops woven into the spin networks.

image

Our Milky Way Galaxy is surrounded by the two (2) nearest Dark Matter Galaxies W-2 and W+2 with two joint gravity waveguides W+1 and W-1 and our Galaxy acquires the corresponding joint gravity potential.

Parallel Universes

So now we can find them as i12 in our discussions about the 26 parameters on the mechanism for fermion mass generation which end up to 139 components.

From_the_waveguided

The visible W-1 (antimatter), W+1 (antimatter) Universes are adjacent to the W0 (our matter)-Universe and have two joint framing membranes M0 and M-1, carrying two joint electrostatic potentials. (Gribov_I_2013 - pdf)

The Position Pairs

Pauli_matrices

36 + 36 - 6 partitions = 72 - 6 = 66 = 30+36 = 6x11

$True Prime Pairs:
 (5,7), (11,13), (17,19)
 
 layer|  i  |   f
 -----+-----+---------
      |  1  | 5
   1  +-----+
      |  2  | 7
 -----+-----+---  } 36 » 6®
      |  3  | 11
   2  +-----+
      |  4  | 13
 -----+-----+---------
      |  5  | 17
   3  +-----+     } 36 » 6®
      |  6  | 19
 -----+-----+---------

spinnors in physics

#!/usr/bin/env python

import numpy as np
from scipy import linalg

class SU3(np.matrix):
	GELLMANN_MATRICES = np.array([
		np.matrix([ #lambda_1
			[0, 1, 0],
			[1, 0, 0],
			[0, 0, 0],
		], dtype=np.complex),
		np.matrix([ #lambda_2
			[0,-1j,0],
			[1j,0, 0],
			[0, 0, 0],
		], dtype=np.complex),
		np.matrix([ #lambda_3
			[1, 0, 0],
			[0,-1, 0],
			[0, 0, 0],
		], dtype=np.complex),
		np.matrix([ #lambda_4
			[0, 0, 1],
			[0, 0, 0],
			[1, 0, 0],
		], dtype=np.complex),
		np.matrix([ #lambda_5
			[0, 0,-1j],
			[0, 0, 0 ],
			[1j,0, 0 ],
		], dtype=np.complex),
		np.matrix([ #lambda_6
			[0, 0, 0],
			[0, 0, 1],
			[0, 1, 0],
		], dtype=np.complex),
		np.matrix([ #lambda_7
			[0, 0,  0 ],
			[0, 0, -1j],
			[0, 1j, 0 ],
		], dtype=np.complex),
		np.matrix([ #lambda_8
			[1, 0, 0],
			[0, 1, 0],
			[0, 0,-2],
		], dtype=np.complex) / np.sqrt(3),
	])


	def computeLocalAction(self):
		pass

	@classmethod
	def getMeasure(self):
		pass

Now the following results: Due to the convolution and starting from the desired value of the prime position pairs, the product templates and prime numbers templates of the prime number 7 lie in the numerical Double strand parallel opposite.

The Fourth Root

In number theory, the partition functionp(n) represents the number of possible partitions of a non-negative integer n.

image

Integers can be considered either in themselves or as solutions to equations (Diophantine geometry).

Note

Young diagrams associated to the partitions of the positive integers 1 through 8. They are arranged so that images under the reflection about the main diagonal of the square are conjugate partitions (Wikipedia).

integer partition

Note

By parsering π(1000)=168 primes of the 1000 id’s across π(π(10000))-1=200 of this syntax then the (Δ1) would be initiated. Based on Assigning Sitemap priority values You may see them are set 0.75 – 1.0 on the sitemap’s index:

Priority	Page Name
1	        Homepage
0.9	        Main landing pages
0.85	        Other landing pages
0.8	        Main links on navigation bar
0.75	        Other pages on site
0.8	        Top articles/blog posts
0.75	        Blog tag/category pages
0.4 – 0.7	Articles, blog posts, FAQs, etc.
0.0 – 0.3	Outdated information or old news that has become less relevant

By this object orientation then the reinjected primes from the π(π(10000))-1=200 will be (168-114)+(160-114)=54+46=100. Here are our layout that is provided using Jekyll/Liquid to facilitate the cycle:

100 + 68 + 32 = 200

$True Prime Pairs:
(5,7), (11,13), (17,19)
 
layer | node | sub |  i  |  f.                                      MEC 30 / 2
------+------+-----+-----+------      ‹--------------------------- 30 {+1/2} √
      |      |     |  1  | --------------------------
      |      |  1  +-----+                           |    
      |  1   |     |  2  | (5)                       |
      |      |-----+-----+                           |
      |      |     |  3  |                           |
  1   +------+  2  +-----+----                       |
      |      |     |  4  |                           |
      |      +-----+-----+                           |
      |  2   |     |  5  | (7)                       |
      |      |  3  +-----+                           |
      |      |     |  6  |                          11s
------+------+-----+-----+------      } (36)         |
      |      |     |  7  |                           |
      |      |  4  +-----+                           |
      |  3   |     |  8  | (11)                      |
      |      +-----+-----+                           |
      |      |     |  9  |‹--                        |
  2   +------|  5* +-----+-----                      |
      |      |     |  10 |                           |
      |      |-----+-----+                           |
      |  4   |     |  11 | (13) --------------------- 32 √
      |      |  6  +-----+            ‹------------------------------ 15 {0} √
      |      |     |  12 |---------------------------
------+------+-----+-----+------------               |
      |      |     |  13 |                           |
      |      |  7  +-----+                           |
      |  5   |     |  14 | (17)                      |
      |      |-----+-----+                           |
      |      |     |  15 |                           7s = f(1000)
  3*  +------+  8  +-----+-----       } (36)         |
      |      |     |  16 |                           |
      |      |-----+-----+                           |
      |  6   |     |  17 | (19)                      |
      |      |  9  +-----+                           |
      |      |     |  18 | -------------------------- 68 √
------|------|-----+-----+-----                            ‹------  0 {-1/2} √

Diagram-of-the-statistical-principle-for-the-constitution-of-partitions-of-prime-numbers

p r i m e s
1 0 0 0 0 0
2 1 0 0 0 1 ◄--- #29 ◄--- #61 👈 1st spin
3 2 0 1 0 2 👉 2
4 3 1 1 0 3 👉 89 - 29 = 61 - 1 = 60
5 5 2 1 0 5 👉 11 + 29 = 37 + 3 = 40 
          6 👉 11s Composite Partition ◄--- 102 👈 4th spin
6 7 3 1 0 7 ◄--- #23 👈 7+23 = 30 ✔️
7 11 4 1 0 11 ◄--- #19 👈 11+19 = 30 ✔️
8 13 5 1 0 13 ◄--- #17 ◄--- #49 👈 13+17 = 30 ✔️
9 17 0 1 1 17 ◄--- 7th prime👈 17+7 != 30❓
           18 👉 7s Composite Partition ◄--- 168 👈 7th spin
10 19 1 1 1 ∆1 ◄--- 0th ∆prime ◄--- Fibonacci Index #18
-----
11 23 2 1 1 ∆2 ◄--- 1st ∆prime ◄--- Fibonacci Index #19 ◄--- #43
..
..
40 163 5 1 0 ∆31 ◄- 11th ∆prime ◄-- Fibonacci Index #29 👉 11
-----
41 167 0 1 1 ∆0
42 173 0 -1 1 ∆1
43 179 0 1 1 ∆2 ◄--- ∆∆1
44 181 1 1 1 ∆3 ◄--- ∆∆2 ◄--- 1st ∆∆prime ◄--- Fibonacci Index #30
..
..
100 521 0 -1 2 ∆59 ◄--- ∆∆17 ◄--- 7th ∆∆prime ◄--- Fibonacci Index #36  👉 7s
-----

Composite System

By taking a distinc function between f(π) as P vs f(i) as NP where e + 1 = 0 then theoretically they shall be correlated to get an expression of the prime platform similar to the Mathematical Elementary Cell 30 (MEC30).

∆17 + ∆49 = ∆66

p r i m e s
1 0 0 0 0 0
2 1 0 0 0 1 ◄--- #29 ◄--- #61 👈 1st spin
3 2 0 1 0 2 👉 2
4 3 1 1 0 3 👉 89 - 29 = 61 - 1 = 60
5 5 2 1 0 5 👉 11 + 29 = 37 + 3 = 40 
          6 👉 11s Composite Partition ◄--- 102 👈 4th spin
6 7 3 1 0 7 ◄--- #23 👈 part of MEC30 ✔️
7 11 4 1 0 11 ◄--- #19 👈 part of MEC30 ✔️
8 13 5 1 0 13 ◄--- #17 ◄--- #49 👈 part of MEC30 ✔️
9 17 0 1 1 17 ◄--- 7th prime👈 not part of MEC30 ❓
           18 👉 7s Composite Partition ◄--- 168 👈 7th spin
10 19 1 1 1 ∆1 ◄--- 0th ∆prime ◄--- Fibonacci Index #18
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11 23 2 1 1 ∆2 ◄--- 1st ∆prime ◄--- Fibonacci Index #19 ◄--- #43
..
..
40 163 5 1 0 ∆31 ◄- 11th ∆prime ◄-- Fibonacci Index #29 👉 11
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41 167 0 1 1 ∆0
42 173 0 -1 1 ∆1
43 179 0 1 1 ∆2 ◄--- ∆∆1
44 181 1 1 1 ∆3 ◄--- ∆∆2 ◄--- 1st ∆∆prime ◄--- Fibonacci Index #30
..
..
100 521 0 -1 2 ∆59 ◄--- ∆∆17 ◄--- 7th ∆∆prime ◄--- Fibonacci Index #36  👉 7s
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a-Example-of-trellis-tone-modulation-generated-by-referring-to-the-trellis-diagram-in

∆102 - ∆2 - ∆60 = ∆40

p r i m e s
1 0 0 0 0 0
2 1 0 0 0 1 ◄--- #29 ◄--- #61 👈 1st spin
3 2 0 1 0 2 👉 2
4 3 1 1 0 3 👉 89 - 29 = 61 - 1 = 60
5 5 2 1 0 5 👉 11 + 29 = 37 + 3 = 40 
          6 👉 11s Composite Partition ◄--- 102 👈 4th spin
6 7 3 1 0 7 ◄--- #23 👈 30 ◄--- break MEC30 symmetry ✔️
7 11 4 1 0 11 ◄--- #19 👈 30 ✔️
8 13 5 1 0 13 ◄--- #17 ◄--- #49 👈 30 ✔️
9 17 0 1 1 17 ◄--- 7th prime👈 not part of MEC30 ❓
           18 👉 7s Composite Partition ◄--- 168 👈 7th spin
10 19 1 1 1 ∆1 ◄--- 0th ∆prime ◄--- Fibonacci Index #18
-----
11 23 2 1 1 ∆2 ◄--- 1st ∆prime ◄--- Fibonacci Index #19 ◄--- #43
..
..
40 163 5 1 0 ∆31 ◄- 11th ∆prime ◄-- Fibonacci Index #29 👉 11
-----
41 167 0 1 1 ∆0
42 173 0 -1 1 ∆1
43 179 0 1 1 ∆2 ◄--- ∆∆1
44 181 1 1 1 ∆3 ◄--- ∆∆2 ◄--- 1st ∆∆prime ◄--- Fibonacci Index #30
..
..
100 521 0 -1 2 ∆59 ◄--- ∆∆17 ◄--- 7th ∆∆prime ◄--- Fibonacci Index #36  👉 7s
-----
Note

The partitions of odd composite numbers (Cw) are as important as the partitions of prime numbers or Goldbach partitions (Gw). The number of partitions Cw is fundamental for defining the available lines (Lwd) in a Partitioned Matrix that explain the existence of partitions Gw or Goldbach partitions. (Partitions of even numbers - pdf)

Trellis_Tone_Modulation_Multiple-Access_for_Peer_D

30s + 36s (addition) = 6 x 11s (multiplication) = 66s

p r i m e s
1 0 0 0 0 0
2 1 0 0 0 1 ◄--- #29 ◄--- #61 👈 1st spin
3 2 0 1 0 2 👉 2
4 3 1 1 0 3 👉 89 - 29 = 61 - 1 = 60
5 5 2 1 0 5 👉 11 + 29 = 37 + 3 = 40 
          6 👉 11s Composite Partition ◄--- 102 👈 4th spin
6 7 3 1 0 7 ◄--- #23 👈 f(#30) ◄--- break MEC30 symmetry
7 11 4 1 0 11 ◄--- #19 👈 30
8 13 5 1 0 13 ◄--- #17 ◄--- #49 👈 30
9 17 0 1 1 17 ◄--- 7th prime 👈 f(#36) ◄--- antisymmetric state ✔️
           18 👉 7s Composite Partition ◄--- 168 👈 7th spin
10 19 1 1 1 ∆1 ◄--- 0th ∆prime ◄--- Fibonacci Index #18
-----
11 23 2 1 1 ∆2 ◄--- 1st ∆prime ◄--- Fibonacci Index #19 ◄--- #43
..
..
40 163 5 1 0 ∆31 ◄- 11th ∆prime ◄-- Fibonacci Index #29 👉 11
-----
41 167 0 1 1 ∆0
42 173 0 -1 1 ∆1
43 179 0 1 1 ∆2 ◄--- ∆∆1
44 181 1 1 1 ∆3 ◄--- ∆∆2 ◄--- 1st ∆∆prime ◄--- Fibonacci Index #30
..
..
100 521 0 -1 2 ∆59 ◄--- ∆∆17 ◄--- 7th ∆∆prime ◄--- Fibonacci Index #36  👉 7s
-----